To test whether the mean amount of output is the same for machines produced by three manufacturers


Question: To test whether the mean amount of output is the same for machines produced by three manufacturers, a company manager uses the three machines to produce four different batches.

Manufacturer A Manufacturer B Manufacturer C
29 24 26
26 26 19
24 31 23
21 28 21



He uses his computer to generate the following summary statistics from the data:

i (x_i bar) s_i
Manufacturer A 1 25 3.37
Manufacturer B 2 27.25 2.99
Manufacturer C 3 22.25 2.99

Use either the data or summary statistics (vie formulas) to test whether the population means for the machine outputs differ for the three manufacturers. Use a = 0.05. Show all five steps of the hypothesis testing process. Points will be deducted for missing parts; however, this may be done using the data and calculator functions. (State which calculator menus were used.).

Solution:

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